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cos(10t)–cos(30t)和[5sin(8t)]2怎么求周期那个2是平方.

题目详情
cos(10t) – cos(30t)和[ 5 sin(8t) ]2 怎么求周期
那个2是平方.
▼优质解答
答案和解析
cos(10t) – cos(30t)
=cos(10t)-[ cos(10t) cos(20t)-sin(10t)sin(20t)]
=cos(10t)-{ cos(10t) [2cos²(10t)-1]-2sin²(10t)cos(10t)}
=cos(10t){1- [2cos²(10t)-1]-2sin²(10t)}
=0